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Scalar and Vector Operations

Problems involving scalar and vector operations

The eastward component of vector A is equal to the westward component of vector B and their northward components are equal. Which one of the following statements is correct for these two vectors? Choices: Vector A is parallel to vector B Vector A is anti-parallel to vector B The magnitude of vector A is equal to the mag

Direction relative to ground

A plane has an airspeed of 142 m/s. A 30 m/s wind is blowing southward at the same time as the plane is flying. What must be the direction of the plane in order to move due east relative to the ground? Answer choices: 78.1 degrees north of east 11.9 degrees north of east 77.8 degrees north of east 12.2 degrees north of

Adding Vectors

Vector A=6 m and points 30 degrees south of east. Vector B=4 m and points 30 degrees south of west. Find the resultant vector A+B. Answer Choices: 3.3 m at an angle of 71 degrees south of east. 5.3 m at an angle of 71 degrees south of east 3.3 m at an angle of 19 degrees south of east 5.3 m at an angle of 19 degrees sou

Velocity of a charge moving in a magnetic field

The problem states: A particle with a charge of -5.90 * 10^-9 C is moving in a uniform magnetic field B(vector) = -(1.25 T) k (hat). The magnetic force on the particle is measured to be F(vector) = -(4.00 * 10^-7 N) i(hat) + (7.60 * 10^-7 N) j(hat). 1. Are there components of the velocity that are not determined by the

Vector problem

So here is the question Let A= {10, 30°} be a vector of magnitude 10 ( in some units) and pointing in a direction of 30°counter-clockwise from positive x. Let B = { 7, 225°degree} Find x and Y componens of these two vectors A { AX= AY= B { Bx= BY= Find x and y components of the sum S= A+B S= { Sx= S

Resultant Vectors of 3 Displacement Vectors

How do I find the resultant of the three displacement vectors in the drawing by means of the component method? If the magnitudes of the vectors are A= 5 m B=5 m and C= 4 m?

Magnitude and Direction of a Resultant Vector

If Displacement vector A points due east and has a magnitude of 2.00 km. Displacement vector B points due north and has a magnitude of 3.75 km. Displacement vector C points due west and has a magnitude of 2.50 km. Displacement vector D points due south and has a magnitude of 3.00 km. How can I find the magnitude and direction (

Pair of forces

Consider a pair of forces, one having a magnitude of 20 N, and the other having a magnitude of 12 N. What maximum net force is possible for these two forces? What is the minimum net force possible?

electric field and potential of point like charges.

(See attached file for full problem description) --- Two equal, positive charges, q = 2.0 micro Coulomb ; are located on the x-axis- one at +0.3m and the other at -0.3m. A third charge Q = +4.0 micro Coulomb is located on the y-axis at +0.4m 1) Find the magnitude & direction of the resultant (net) force on Q. 2) Find

Stokes and Gauss' Theorem

1. A vector field v(x, y, z) is given by the formula v(x, y, z) = xyˆx − yˆ2y. Consider a square path in the xy plane which starts at (0,0,0) and moves along the corners (1,0,0), (1,1,0) and (0,1,0). Calculate the path integral of v, i.e. v · dr, and calculate the area integral of the divergence, R ∇ × v · da, an

Center of Mass of Particles

A) Find the xcm coordinate of the center of mass of the system of particles shown in the figure. (See attached file for full problem description with diagram and values) Express your answer in meters to two significant figures. xcm = B) A straight rod has one end at the origin and the other end at the point (L,0) and

Center of Mass and Coordinate System

A system of four buckets forms a square as shown in the figure. Initially, the buckets have different masses (it is not known how these masses are related). A student begins to add water gradually to the bucket located at the origin. As a result, what happens to the coordinates of the center of mass of the system of buckets? (Se

Find the x coordinate of the center of mass.

Please see the attached file for full problem description with diagram. For the system of particles described above, find the x coordinate xcm of the center of mass. Assume that the particle of mass M is at the origin and the positive x axis is directed to the right. Express your answer in terms of L.

Direction and Work Done by Electric Field

(See attached file for full problem description) --- 4 a) Sketch arrows on the diagram (see attachment) to indicate the direction of the electric field, if any, at each of the points A, B, C, and D. A positively charged test particle is observed to move as described below. For each motion, tell whether the work done by

Vector calculation of a plane

A plane leaves the airport in Galisto and flies a distance 170 km at an angle 68.0 degree east of north and then changes direction to fly a distance 270 km at an angle 48.0 degree south of east, after which it makes an immediate emergency landing in a pasture. When the airport sends out a rescue crew, how far should this crew

8 Problems Vectors: Components of a vector, resultant vector

(See attached file for full problem description with diagrams) --- Please solve each and give a complete detailed step by step solution to solving each problem no matter how easy. I am trying to learn and not an expert. Give answer and way to solve. Adult student trying to make my way through all this and need your help!

Force Impulse and Projectile Motion

In a slow-pitch softball game, a 0.200 kg softball crossed the plate at 20.00 m/s at an angle of 35.0° below the horizontal. The batter hits the ball toward center field, giving it a velocity of 40.0 m/s at 30.0° above the horizontal. (a) Determine the impulse delivered to the ball. (b) If the force on the ball increase

Body on slope with friction

Please help with the following problem. Provide step by step calculations for each problem. You have a mass of 59 kg and are on a 28-degree slope hanging on to a cord with a breaking strength of 224 newtons. What must be the coefficient of static friction to 2 decimal places between you and the surface for you to be saved fr

Scalar Components of a Vector

The force of magnitude 24Squareroot2 Newtons makes an angle of 225 degrees with the positive x axis. Find the x and y scalar components of the vector.

Kinematics and Energy Kinematics

Could you provide workings out and answers to the following physics questions: 1.a. What is the difference between a scalar and a vector quantity? b. A hiker walks due north for 4.0 km to reach point A and then northeast for 6.0 km to reach point B. Find by calculation or by scale drawing: - the straight line distance from s

Keeping a derrick from tipping

A load having a mass of 9.2 metric tons is to be lifted by means of a contractor's derrick as shown in fig 5-10. If the Vertical plane containing the boom bisects the angle ADB, what reactions must be provided at points A and B to keep the derrick from tipping? The boom has a mass of 1.84 metric tons, and it makes an angle of 4

Calculations for Vectors

Please provide formulas and step by step instructions on how to solve. A Vector F has a magnitude of 20 and is directed vertically downward. Find is components Fx and Fy in each of the coordinate frames. Please see attached.

Solving Vector Problems

Hi, I am having a lot of difficulty understanding vectors, can you please assist me with these questions. Given: position vector A = i hat. position vector B = i hat + j hat + k hat. 1) Find A hat and B hat (unit vector in that direction). 2) Find position vector C in that plane perpendicular to position ve

Area; Scalar; Vector; Cross Product etc...

Please assist me with the attached problems, including: 1. Find the area within the given set of points 2. Determine whether each product is a scalar or a vector or does not exist. Explain reasoning. See attachment for complete list of problems. Thanks

Solving for Vector Addition and Subtraction

Question: Two vectors act upon a body at an angle of 45 degrees between them. Vector A has a magnitude of 100.0 and vector B has a magnitude of 200.0. Draw an XY coordinate system. What are the x and y components of the resultant vector? What is the magnitude of the resultant, and it's directions angle with respect to the A vec

Vector Addition and Subtraction

Draw a scaled diagram of a vector of magnitude 100cm at 30 degrees above the horizontal and use trigonometry to determine its x and y components.